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LiRa [457]
3 years ago
8

Find the missing side or angle.

Mathematics
2 answers:
borishaifa [10]3 years ago
7 0

Answer: 286 which becomes 290 when you round it up

Step-by-step explanation:

360 is the total angles of any quadralateral Use this formula

(n - 2) x 180

(4 - 2) x 180

2 x 180 = 360 degrees

NEXT STEP:

a + b + c + A = 360

15 + 30 + 29 + x = 360

74 + x = 360

x = 360 - 74

x = 286 degrees

Nata [24]3 years ago
6 0

Answer:

∠ A ≈ 79.0°

Step-by-step explanation:

Using the Cosine rule to find the angle

cosA = \frac{b^2+c^2-a^2}{2bc}

        = \frac{15^2+29^2-30^2}{2(15)(29)}

        = \frac{225+841-900}{870}

        = \frac{166}{870} , then

A = cos^{-1} (\frac{166}{870} ) ≈ 79.0° ( to the nearest tenth )

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